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laila [671]
3 years ago
12

The wool of a vicuna is finer than any other wool. The hair of this animal can be as thin as 0.000006 meters. If the average thi

ckness of human hair is approximately 8.4 × 10-5 meters, what is the difference of the thickness of a human hair and a vicuna hair?
A.
2.4 × 10-5 meters
B.
2.4 × 10-6 meters
C.
7.8 × 10-6 meters
D.
7.8 × 10-5 meters
Mathematics
1 answer:
Serjik [45]3 years ago
6 0

Answer: your answer you are seeking is D

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2x + 4 = 96<br><br> HELP ME PLEASE
zmey [24]

Answer:

x = 46

Step-by-step explanation:

2x + 4 = 96

-4           -4

2x = 92

----   ----

2      2

92/2 = 46

x = 46

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How is a trapezoid similar to a parallelogram
Svetllana [295]
Trapezoid and paralellogram are both quadrilaterals

the heiarchy is
quadrilaterals are 4 sided figures
quadrilaterals is split up into
      A. no pairs of paralell sides
             - kite
       B. 1 pair of paralell sides
               - trapezoid/trapezium
      C. 2 pairs of parell sides (paralellograms)
           -rectangles
           -rhombus
           -square


so you can see that they are both quadrilaterals (quad=4, lateral=sides, quadrilateral=4 sided figure)
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The height of a triangle is (x - 2) centimeters. The base of the triangle is (x + 7)
likoan [24]
Hmmm I’m not so sure
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If someone could help me, it’d be great!
ryzh [129]
ABC has
A as the first letter
B as the second letter
C as the third letter
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Similarly with EFG we hae
E as the first letter
F as the second letter
G as the third letter
The order is also important

Based on the orderings, we can say
A corresponds to E
B corresponds to F
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Which means
A rotates to E
B rotates to F
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The final answer is choice C) Angle C
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8 0
3 years ago
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sampling distribution of the sample proportion in sample of size n, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.2, n = 400

So

\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.24 - 0.2}{0.02}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 0.16

Z = \frac{X - \mu}{s}

Z = \frac{0.16 - 0.2}{0.02}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

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3 years ago
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